Designing pump-efficient Josephson parametric amplifiers with high dynamic range

Quantum information processing relies on low noise amplification for signal readout. In the realm of superconducting quantum computing this amplification is often achieved via Josephson Parametric Amplifiers (JPA). In the past, these amplifiers exhibited low pump efficiency and low saturation power. However, it has been previously shown that more complex devices with multiple Josephson junctions can be tuned to improve each of these parameters. Here, we propose a circuit that consists of an array of RF SQUIDS, with each RF SQUID shunted by additional current-biased Josephson junctions. We demonstrate that this circuit can be tuned to have large saturation power and at the same time an efficiency of at least 8.4% (a 4-fold improvement over similar circuits excluding the current-biased junctions).